So one does not need to own an IP address to run mischevious stuff from it. You could spin up a scan from a cloud instance pretty trivially, and distributed botnets/random script kiddies are a thing as well. There is also nothing keeping one from coming into possession of a large chunk of IP addresses except the financial barriers and organizational policy in the case of IPv4.
It should make one blanch the amount of energy that gets expended on wasteful attempts to brute force network address spaces, but it's just a reality of the Internet.